Polynomial interpolation, ideals and approximation order of multivariate refinable functions
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Publication:4539854
DOI10.1090/S0002-9939-02-06678-9zbMath1025.42023OpenAlexW1586478237MaRDI QIDQ4539854
Publication date: 11 July 2002
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06678-9
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Interpolation in approximation theory (41A05)
Related Items (9)
Anisotropic bivariate subdivision with applications to multigrid ⋮ From Hermite to stationary subdivision schemes in one and several variables ⋮ Multivariate refinable functions, differences and ideals -- a simple tutorial ⋮ Symmetric four-directional bivariate pseudo-spline symbols ⋮ Full rank interpolatory subdivision: a first encounter with the multivariate realm ⋮ Scalar multivariate subdivision schemes and box splines ⋮ Regularity of multivariate vector subdivision schemes ⋮ Differentiability of multivariate refinable functions and factorization ⋮ On a mixed interpolation with integral conditions at arbitrary nodes
Cites Work
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- Local Dimension of Piecewise Polynomial Spaces, Syzygies, and Solutions of Systems of Partial Differential Equations
- Stationary subdivision
- Ten Lectures on Wavelets
- Multivariate Refinement Equations and Convergence of Subdivision Schemes
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